Highest Common Factor of 8557, 5604 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8557, 5604 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8557, 5604 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 8557, 5604 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 8557, 5604 is 1.

HCF(8557, 5604) = 1

HCF of 8557, 5604 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 8557, 5604 is 1.

Highest Common Factor of 8557,5604 using Euclid's algorithm

Highest Common Factor of 8557,5604 is 1

Step 1: Since 8557 > 5604, we apply the division lemma to 8557 and 5604, to get

8557 = 5604 x 1 + 2953

Step 2: Since the reminder 5604 ≠ 0, we apply division lemma to 2953 and 5604, to get

5604 = 2953 x 1 + 2651

Step 3: We consider the new divisor 2953 and the new remainder 2651, and apply the division lemma to get

2953 = 2651 x 1 + 302

We consider the new divisor 2651 and the new remainder 302,and apply the division lemma to get

2651 = 302 x 8 + 235

We consider the new divisor 302 and the new remainder 235,and apply the division lemma to get

302 = 235 x 1 + 67

We consider the new divisor 235 and the new remainder 67,and apply the division lemma to get

235 = 67 x 3 + 34

We consider the new divisor 67 and the new remainder 34,and apply the division lemma to get

67 = 34 x 1 + 33

We consider the new divisor 34 and the new remainder 33,and apply the division lemma to get

34 = 33 x 1 + 1

We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get

33 = 1 x 33 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8557 and 5604 is 1

Notice that 1 = HCF(33,1) = HCF(34,33) = HCF(67,34) = HCF(235,67) = HCF(302,235) = HCF(2651,302) = HCF(2953,2651) = HCF(5604,2953) = HCF(8557,5604) .

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Frequently Asked Questions on HCF of 8557, 5604 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 8557, 5604?

Answer: HCF of 8557, 5604 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8557, 5604 using Euclid's Algorithm?

Answer: For arbitrary numbers 8557, 5604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.